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AJACW22

  • 2 years ago

The ages of a group of women are approximately normally distributed with a mean of 48 years and a standard deviation of 6 years. One woman is randomly selected from the group, and her age is observed. A. Find the probability that her age will fall between 54 and 60 years is_____. B. Find the probability that her age will fall between 47 and 52 years is_____. C. Find the probability that her age will be less than 35 is_____. D. Find the probability that her age will exceed 40 years is_____.

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  1. amistre64
    • 2 years ago
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    are you spose to use an exact result, or an empirical rule approximation?

  2. amistre64
    • 2 years ago
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    also, are you using a ti83, or stat program, or do you have to use the tables in the book?

  3. AJACW22
    • 2 years ago
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    Tables in the book

  4. amistre64
    • 2 years ago
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    tables bite .... different authors have different formats that they feel are better :/ in any case, the process is simple enough if you can read the table

  5. amistre64
    • 2 years ago
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    find a z score, look it up in the table, work the results\[Z=\frac{X-mean}{sd}\]

  6. amistre64
    • 2 years ago
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    since your mean = 48, and sd = 6 finding the z scores for the given info is simple enough

  7. amistre64
    • 2 years ago
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    A. Find the probability that her age will fall between 54 and 60 years z1 = (54-48)/6 ; z2 = (60-48)/6 do you know how to read your tables?

  8. AJACW22
    • 2 years ago
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    Yes

  9. amistre64
    • 2 years ago
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    then the rest of it is working out the values from the table to address the given situations.

  10. AJACW22
    • 2 years ago
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    ok thanks for you help

  11. amistre64
    • 2 years ago
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    good luck :)

  12. AJACW22
    • 2 years ago
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    By the way the last two quetions, would you use 35 or 34 if it is less than, and 36 if it is greater tahn?

  13. amistre64
    • 2 years ago
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    C. Find the probability that her age will be less than 35 is_____. x = 35, then find the area to the left of z D. Find the probability that her age will exceed 40 years is_____. x = 40, then find the area to the right of z

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